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Finding the Fourth Proportional to 24,343.25, 36,514.88 and 5,875.25

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Solution

The fourth proportional to 24,343.25, 36,514.88 and 5,875.25 is: 8,812.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,343.25 : 36,514.88 = 5,875.25 : x
  2. Step 2: Convert to fraction form
    24,343.25/36,514.88 = 5,875.25/x
  3. Step 3: Cross multiply
    24,343.25x = 36,514.88 × 5,875.25
  4. Step 4: Simplify right side
    24,343.25x = 214,534,019.34
  5. Step 5: Solve for x
    x = 214,534,019.34/24,343.25
  6. Step 6: Final answer
    x = 8,812.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.